Useful Links
1. Historical Development and Foundations
2. Mathematical Foundations
3. Wave Function Formalism
4. Quantum Mechanical Operators
5. Hilbert Space and Dirac Notation
6. One-Dimensional Systems
7. Three-Dimensional Systems
8. Angular Momentum Theory
9. The Hydrogen Atom
10. Approximation Methods
11. Identical Particles and Many-Body Systems
12. Scattering Theory
13. Quantum Mechanics of Radiation
14. Relativistic Quantum Mechanics
15. Interpretations and Foundations
16. Advanced Topics
  1. Physics
  2. Quantum Physics

Quantum Mechanics

1. Historical Development and Foundations
2. Mathematical Foundations
3. Wave Function Formalism
4. Quantum Mechanical Operators
5. Hilbert Space and Dirac Notation
6. One-Dimensional Systems
7. Three-Dimensional Systems
8. Angular Momentum Theory
9. The Hydrogen Atom
10. Approximation Methods
11. Identical Particles and Many-Body Systems
12. Scattering Theory
13. Quantum Mechanics of Radiation
14. Relativistic Quantum Mechanics
15. Interpretations and Foundations
16. Advanced Topics
  1. Approximation Methods
    1. Perturbation Theory
      1. Time-Independent Perturbation Theory
        1. Non-Degenerate Case
          1. First-Order Corrections
            1. Second-Order Corrections
              1. Degenerate Case
                1. Matrix Diagonalization
                2. Time-Dependent Perturbation Theory
                  1. Sudden Approximation
                    1. Adiabatic Approximation
                      1. Periodic Perturbations
                        1. Fermi's Golden Rule
                      2. Variational Method
                        1. Variational Principle
                          1. Trial Wave Functions
                            1. Ground State Energies
                              1. Excited States
                                1. Applications
                                  1. Helium Atom
                                    1. Molecular Systems
                                  2. WKB Approximation
                                    1. Semiclassical Method
                                      1. Classical Turning Points
                                        1. Connection Formulas
                                          1. Quantization Conditions
                                            1. Tunneling Applications

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